{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "<p align=\"center\">\n",
    "    <img src=\"https://github.com/GeostatsGuy/GeostatsPy/blob/master/TCG_color_logo.png?raw=true\" width=\"220\" height=\"240\" />\n",
    "\n",
    "</p>\n",
    "\n",
    "## Subsurface Data Analytics \n",
    "\n",
    "### Make a Synthetic Nonlinear Facies-based Dataset\n",
    "\n",
    "#### Michael Pyrcz, Associate Professor, University of Texas at Austin \n",
    "\n",
    "##### [Twitter](https://twitter.com/geostatsguy) | [GitHub](https://github.com/GeostatsGuy) | [Website](http://michaelpyrcz.com) | [GoogleScholar](https://scholar.google.com/citations?user=QVZ20eQAAAAJ&hl=en&oi=ao) | [Book](https://www.amazon.com/Geostatistical-Reservoir-Modeling-Michael-Pyrcz/dp/0199731446) | [YouTube](https://www.youtube.com/channel/UCLqEr-xV-ceHdXXXrTId5ig)  | [LinkedIn](https://www.linkedin.com/in/michael-pyrcz-61a648a1)\n",
    "\n",
    "#### Import Required Packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Set Up\n",
    "\n",
    "Let's make an empty DataFrame, set the random seed number."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "columns = ['Por','Perm','Facies']\n",
    "df_final = pd.DataFrame(columns = columns)\n",
    "seed = 73073\n",
    "np.random.seed(seed = seed)\n",
    "cmap = plt.cm.inferno"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### First Facies\n",
    "\n",
    "We generate a facies porosity and permeability relationship with the following workflow:\n",
    "    \n",
    "* sample the bivariate Gaussian distribution\n",
    "\n",
    "* impose nonlinearity in permeability through a quadratic expression\n",
    "\n",
    "* min/max normalize the result\n",
    "\n",
    "* plot the result\n",
    "\n",
    "* append to the DataFrame\n",
    "\n",
    "The follow parameters may be set:\n",
    "    \n",
    "* **facies** - the facies number as an interger\n",
    "\n",
    "* **mean**, **stdev** - the univariate parameters for the Gaussian bivariate \n",
    "\n",
    "* **corr** - correlation coefficient for the Gaussian bivariate\n",
    "\n",
    "* **a**, **b**, **c** - the quadrative parameters\n",
    "\n",
    "* **nsample** - number of samples for this facies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Por</th>\n",
       "      <th>Perm</th>\n",
       "      <th>Facies</th>\n",
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       "  </thead>\n",
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       "      <th>1</th>\n",
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       "      <td>1155.562494</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
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       "      <td>1</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
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       "</table>\n",
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      ],
      "text/plain": [
       "         Por         Perm  Facies\n",
       "0  23.311638  1187.778477       1\n",
       "1  21.208123  1155.562494       1\n",
       "2  18.350419  1045.901501       1\n",
       "3  25.053697  1197.902032       1\n",
       "4  21.259112  1137.369924       1"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# facies parameters\n",
    "facies = 1\n",
    "mean = [12,5]\n",
    "stdev = [4.5,2.9]\n",
    "corr = 0.95\n",
    "a = -1.5; b = 30; c = 100\n",
    "\n",
    "tmin = [10.0,600.0]\n",
    "tmax = [30.0,1200.0]\n",
    "\n",
    "cov = np.array([stdev[0]*stdev[0],corr*stdev[0]*stdev[1], corr*stdev[0]*stdev[1], stdev[1]*stdev[1]]); cov = cov.reshape((2,2))\n",
    "nsample = 500\n",
    "\n",
    "# sample from the bivariate Gaussian distribution\n",
    "bgaus = np.random.multivariate_normal(mean, cov, size = nsample)\n",
    "\n",
    "# impose nonlinearity through a quadratic transform of the permeability \n",
    "bgaus[:,1] = a * bgaus[:,1] * bgaus[:,1] + b * bgaus[:,1] + c \n",
    "\n",
    "# correct to the target min and max\n",
    "bgaus = (bgaus - np.amin(bgaus, axis = 0))/(np.amax(bgaus, axis = 0)-np.amin(bgaus, axis = 0))*(np.array(tmax)-np.array(tmin))+np.array(tmin)\n",
    "\n",
    "# plot the result\n",
    "plt.scatter(bgaus[:,0],bgaus[:,1],alpha = 0.2,c = 'black')\n",
    "\n",
    "# append to the DataFrame\n",
    "df1 = pd.DataFrame({'Por':bgaus[:,0],'Perm':bgaus[:,1],'Facies':np.full(nsample,facies)})\n",
    "df1.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Second Facies\n",
    "\n",
    "Now repeat for the second facies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1ef7c083160>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# facies parameters\n",
    "facies = 3\n",
    "mean = [12,5]\n",
    "stdev = [4.5,2.9]\n",
    "corr = 0.9\n",
    "a = -1.3; b = 30; c = 100\n",
    "\n",
    "tmin = [0.0,10.0]\n",
    "tmax = [12.0,900.0]\n",
    "\n",
    "cov = np.array([stdev[0]*stdev[0],corr*stdev[0]*stdev[1], corr*stdev[0]*stdev[1], stdev[1]*stdev[1]]); cov = cov.reshape((2,2))\n",
    "nsample = 200\n",
    "\n",
    "# sample from the bivariate Gaussian distribution\n",
    "bgaus = np.random.multivariate_normal(mean, cov, size = nsample)\n",
    "bgaus[:,1] = a * bgaus[:,1] * bgaus[:,1] + b * bgaus[:,1] + c \n",
    "\n",
    "# correct to the target min and max\n",
    "bgaus = (bgaus - np.amin(bgaus, axis = 0))/(np.amax(bgaus, axis = 0)-np.amin(bgaus, axis = 0))*(np.array(tmax)-np.array(tmin))+np.array(tmin)\n",
    "\n",
    "# append to the DataFrame\n",
    "df2 = pd.DataFrame({'Por':bgaus[:,0],'Perm':bgaus[:,1],'Facies':np.full(nsample,facies)})\n",
    "df_final = df2.append(df1)\n",
    "\n",
    "# plot the result\n",
    "plt.scatter(df_final['Por'],df_final['Perm'],c = df_final['Facies'],alpha = 0.2,cmap = cmap,vmin = 1, vmax = 5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Third Facies\n",
    "\n",
    "Now repeat for the third facies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1ef7c0cc6a0>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# facies parameters\n",
    "facies = 2\n",
    "mean = [12,5]\n",
    "stdev = [4.5,2.9]\n",
    "corr = 0.9\n",
    "a = -1.3; b = 30; c = 100\n",
    "\n",
    "tmin = [7.0,400.0]\n",
    "tmax = [17.0,1100.0]\n",
    "\n",
    "cov = np.array([stdev[0]*stdev[0],corr*stdev[0]*stdev[1], corr*stdev[0]*stdev[1], stdev[1]*stdev[1]]); cov = cov.reshape((2,2))\n",
    "nsample = 300\n",
    "\n",
    "# sample from the bivariate Gaussian distribution\n",
    "bgaus = np.random.multivariate_normal(mean, cov, size = nsample)\n",
    "bgaus[:,1] = a * bgaus[:,1] * bgaus[:,1] + b * bgaus[:,1] + c \n",
    "\n",
    "# correct to the target min and max\n",
    "bgaus = (bgaus - np.amin(bgaus, axis = 0))/(np.amax(bgaus, axis = 0)-np.amin(bgaus, axis = 0))*(np.array(tmax)-np.array(tmin))+np.array(tmin)\n",
    "\n",
    "# append to the DataFrame\n",
    "df3 = pd.DataFrame({'Por':bgaus[:,0],'Perm':bgaus[:,1],'Facies':np.full(nsample,facies)})\n",
    "df_final = df_final.append(df1).append(df2).append(df3)\n",
    "\n",
    "# plot the result\n",
    "plt.scatter(df_final['Por'],df_final['Perm'],c = df_final['Facies'],alpha = 0.2,cmap = cmap,vmin = 1, vmax = 5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plot the Final Dataset\n",
    "\n",
    "Now let's make a good plot of the final dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the result\n",
    "plt.subplot(111)\n",
    "plt.scatter(df1['Por'],df1['Perm'],color = 'blue',alpha = 0.2,cmap = cmap,vmin = 1, vmax = 4,label = 'sand')\n",
    "plt.scatter(df2['Por'],df2['Perm'],color = 'red',alpha = 0.2,cmap = cmap,vmin = 1, vmax = 4,label = 'shale')\n",
    "plt.scatter(df3['Por'],df3['Perm'],color = 'green',alpha = 0.2,cmap = cmap,vmin = 1, vmax = 4,label = 'sandshale')\n",
    "plt.xlim(0,25)\n",
    "plt.ylim(0.1200)\n",
    "\n",
    "ax = plt.gca()\n",
    "ax.set_xticks(np.arange(0, 26, 5))\n",
    "ax.set_xticks(np.arange(0, 26, 1), minor=True)\n",
    "ax.set_yticks(np.arange(0, 1201, 200))\n",
    "ax.set_yticks(np.arange(0, 1201, 50), minor=True)\n",
    "\n",
    "plt.grid(which = 'both',color = 'black',alpha = 0.2)\n",
    "ax.grid(which='minor', alpha=0.1)\n",
    "ax.grid(which='major', alpha=0.5)\n",
    "plt.xlabel('Porosity (%)'); plt.ylabel('Permeability (mD)'); plt.title('Nonlinear Multivariate Facies v1')\n",
    "plt.legend()\n",
    "\n",
    "plt.subplots_adjust(left=0.0, bottom=0.0, right=2.0, top=2.0, wspace=0.2, hspace=0.2)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Write to .csv File\n",
    "\n",
    "Now let's write the synthetic data to a .csv file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_final.to_csv('nonlinear_facies_v1.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Comments\n",
    "\n",
    "It is helpful to be able to general reasonable/realistic dataset. I hope that this is helpful.\n",
    "\n",
    "I'm always happy to discuss,\n",
    "\n",
    "*Michael*\n",
    "\n",
    "#### The Author:\n",
    "\n",
    "### Michael Pyrcz, Associate Professor, University of Texas at Austin \n",
    "*Novel Data Analytics, Geostatistics and Machine Learning Subsurface Solutions*\n",
    "\n",
    "With over 17 years of experience in subsurface consulting, research and development, Michael has returned to academia driven by his passion for teaching and enthusiasm for enhancing engineers' and geoscientists' impact in subsurface resource development. \n",
    "\n",
    "For more about Michael check out these links:\n",
    "\n",
    "#### [Twitter](https://twitter.com/geostatsguy) | [GitHub](https://github.com/GeostatsGuy) | [Website](http://michaelpyrcz.com) | [GoogleScholar](https://scholar.google.com/citations?user=QVZ20eQAAAAJ&hl=en&oi=ao) | [Book](https://www.amazon.com/Geostatistical-Reservoir-Modeling-Michael-Pyrcz/dp/0199731446) | [YouTube](https://www.youtube.com/channel/UCLqEr-xV-ceHdXXXrTId5ig)  | [LinkedIn](https://www.linkedin.com/in/michael-pyrcz-61a648a1)\n",
    "\n",
    "#### Want to Work Together?\n",
    "\n",
    "I hope this content is helpful to those that want to learn more about subsurface modeling, data analytics and machine learning. Students and working professionals are welcome to participate.\n",
    "\n",
    "* Want to invite me to visit your company for training, mentoring, project review, workflow design and / or consulting? I'd be happy to drop by and work with you! \n",
    "\n",
    "* Interested in partnering, supporting my graduate student research or my Subsurface Data Analytics and Machine Learning consortium (co-PIs including Profs. Foster, Torres-Verdin and van Oort)? My research combines data analytics, stochastic modeling and machine learning theory with practice to develop novel methods and workflows to add value. We are solving challenging subsurface problems!\n",
    "\n",
    "* I can be reached at mpyrcz@austin.utexas.edu.\n",
    "\n",
    "I'm always happy to discuss,\n",
    "\n",
    "*Michael*\n",
    "\n",
    "Michael Pyrcz, Ph.D., P.Eng. Associate Professor The Hildebrand Department of Petroleum and Geosystems Engineering, Bureau of Economic Geology, The Jackson School of Geosciences, The University of Texas at Austin"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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